Year 5 Summer 1 Weekly arithmetic focus – Matched to strand where possible Maths Mission gaps – Mental/ Oral focus I can multiply numbers up to 4 digits by a 1 or 2 digit number using a formal written method, including long multiplication for 2 digit numbers. I can divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context. I can compare and order fractions whose denominators are multiples of the same number. KPIs Summer 1 Decimals (two weeks) I can read and write decimal numbers as fractions. (5.29) Week 1 + and decimals with different numbers of decimal places and whole numbers. PIs I can recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents. (5.30) I can round decimals with 2 decimal places to the nearest whole number and 1 decimal place. (5.31) I can read, write, order and compare numbers with up to 3 decimal places. (5.32) I can solve problems involving numbers up to 3 decimal places. (5.33) Week 2 Week 3 Week 4 Week 5 Summer Test 1 Long Summer Test 2 Fractions of multiplication amounts of up to 4 digits by TU Week 6 Summer Test 3 Week 7 Complements of 1 Or Balanced calculations Learning journey Understanding place value of decimals o Recognise thousandths and relate them to tenths, hundredths and decimal equivalents (5.30) Chn to understand the value of each digit within a decimal number and how to partition a decimal number. Ordering and comparing decimals o Ordering and comparing numbers with up to 3 decimal places (5.32) Chn to revisit knowledge of ordering and comparing whole numbers. Listing decimal numbers underneath each other and using 0 as a place holder Rounding decimals o Rounding decimals with 2 decimal places to a whole number or to 1 decimal place (5.31) Chn to revisit knowledge of rounding whole numbers and relate back to decimals e.g. “1, 2, 3, 4: round down to the 10 before. 5, 6, 7, 8, 9: round up to the next 10 on the number line” is used for rounding whole numbers to the nearest 10, can then be applied to decimals to round to the nearest whole or round hundredths to the nearest tenth. Calculating with decimals o Solving problems involving numbers up to 3 decimal places (5.33) by using the standard written method Chn to add and subtract decimal numbers with up to 3 decimal places e.g. money and distance. o Multiply and divide whole numbers and decimals by 10, 100 and 1000 Chn to revisit previous knowledge of multiplying and dividing my multiples of 10 and apply to decimals, making sure to move the digits rather than the decimal point. Problem solving o Solving problems involving measure using decimal notation and all four operations Could include length, mass, volume, money, chn should understand the appropriate measure for each. Linking to fractions o Reading and writing decimal numbers as fractions (5.29) -- Concrete understanding by comparing Fraction Action and Decimal Action wedges. Chn to understand that 0.1 = 1 tenth, 0.01 = 1 hundredth etc. Convert from one to the other to fill gaps, or show shaded 100s square in decimals and fractions etc. o Solving problems which require knowing decimal equivalents of fractions. (5.36) Chn to use their previous understanding of converting between decimals and fractions to answer word problems that require, addition, subtraction, finding a fraction/decimal value of a given amount Big Problem ideas Add together both of these decimal numbers. Round your answer to 1 decimal place. Summer 1 Percentages (two weeks) Summer 1 Statistics (1-2 weeks) MATHS MISSION IDEAS or OPTIONAL PAPER QUESTIONS I can solve problems which require knowing percentage and decimal equivalents of 1/2, 1/4, 1/5, 2/5, 4/5, and those fractions with a denominator or a multiple of 10 or 25. (5.36) I can recognise the percent symbol and understand that percent relates to 'number parts per hundred'. (5.34) I can write percentages as a fraction with denominator hundred, and as a decimal. (5.35) I can complete, read and interpret information in tables, including timetables (5.54). I can solve comparison, sum and difference problems using information presented in a line graph (5.55). Understanding the meaning of percent o Recognising the percent symbol and understanding its meaning (5.34) Concrete understanding by showing 100s squares and relating back to the number of pieces selected out of the 100. Ordering and comparing percentages o Ordering and comparing percentages of different amounts. Understanding the meaning of percent o Write percentages as a fraction (5.35) Chn to use percentage action and fraction action wedges as a comparative tool to aid concrete understanding. Use knowledge of the definition of percent to work out the percentage of 1/100, 25/100, 5/10, etc. o Solve problems which require knowing percentage equivalents of fractions. (5.36) Line graphs o Plotting and interpreting data/finding totals and the difference (5.55) Timetables o Reading timetables, calculating time intervals, finding missing times o Year 5 Mastery overview Autumn MathsHUBS White Rose pgs 25/26 o Scholastic Maths Practise Book for Year 5 Miss Davies bakes a batch of 60 cupcakes for the End of Year Green Party. 80% of them are chocolate cupcakes. How many chocolate cupcakes did Miss Davies bake? How many cupcakes are not chocolate? On the way to school, Miss Davies accidentally drops 1/4 of the chocolate cupcakes! How many chocolate cupcakes did she drop? How many cupcakes are successfully delivered to the Green Party? Plan and organise a train journey from Birmingham New Street to London Euston for Mrs Graham, Miss Davies and Mrs Hipkiss. Think about: Possible departure times Costs Total travel time Which journey would you choose and why? See: London Midland Easy_times_and_fares_guide_Birmingham_London.pdf KPIs to be assessed: I can read and write decimal numbers as fractions. (5.29) I can solve problems which require knowing percentage and decimal equivalents of 1/2, 1/4, 1/5, 2/5, 4/5, and those fractions with a denominator or a multiple of 10 or 25. (5.36) I can complete, read and interpret information in tables, including timetables (5.54).
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